I understand that strong acids are fully ionized and weak acids are only partially ionized in solution. I get that, but i don't understand how to identify a strong or weak acid. Is there like a list of strong or weak acids that I can just memorize for the final? Or is there a rule of thumb that I'm just not aware of?

I think a lot of the time the question will identify if it is strong or weak for you (at least all of the textbook problems do this). But in general stronger acids have a lower pH than weak acids because the bonds in a strong acids are weak which means they can more easily lose H+

I would definitely familiarize yourself with a list of both the common weak and strong acids before the final. However, a good rule to test is that strong acids can completely dissociate in a solution, while weak acids can only partly dissociate. For example, HCl, a strong acid, can fully dissociate into H+ and Cl-, while Ch3COOH, a weak acid, only dissociates into Ch3COO- and H+.

Does anyone have a definite answer about if we need to know a list of strong acids and bases?I remember we are only going to have to determine the pH of strong acids, but will we be asked to identify/ differentiate strong acids from weak acids